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Are Some Optimal Shape Problems Convex?
optimal shape plate equation convexity maximal deformation beam
2009/2/5
The optimal shape problem in this paper is to construct plates or beams of minimal weight. The thickness $u(x)$ is variable, but the vertical deformation $y(x)$ should not exceed a certain threshhold....
Optimal Control of Problems Governed by Obstacle Type Variational Inequalities:A Dual Regularization-Penalization Approach
Variational Inequalities Optimal Control Dual Methods Penalization Methods
2009/1/23
In this paper we investigate optimal control problems governed by variational inequalities. We give optimality conditions under classical assumptions using a dual regularized functional to interpret t...